Multiscale Deformable Model for Porous Oil Reservoirs with Capillary Effects

the porous media of oil reservoirs have different layers with wide range scales which are different from effective scale of fluid flow in reservoirs. To reduce the calculating time of porous reservoirs modeling, each physical effect should be treated separately on its scale and area of influence. In this paper, the capillary pressures parameters between fluid phases were added on a multiscale deformable model to increase the accuracy of modeling. So, the governing equation was revised and a homogeneous oil reservoir was analyzed considering capillary influences. Comparing the results of analyzing the homogeneous oil reservoir with or without capillary effect shows that the water pressure was increased around the injection point and was decreased around the production point after considering capillary. It seems that the effects of capillary pressures on fluid pressures was significant and should be considered especially in modeling of inhomogeneous reservoirs due to increasing the irregularity flowing.